2749659984 has 120 divisors (see below), whose sum is σ = 7861014720. Its totient is φ = 897025536.

The previous prime is 2749659977. The next prime is 2749659989. The reversal of 2749659984 is 4899569472.

2749659984 is a `hidden beast` number, since 2 + 7 + 496 + 59 + 98 + 4 = 666.

2749659984 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2749659984² = 15121260055221760512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2749659989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1319007 + ... + 1321089.

It is an arithmetic number, because the mean of its divisors is an integer number (65508456).

Almost surely, 2^2749659984 is an apocalyptic number.

2749659984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2749659984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930507360).

2749659984 is an abundant number, since it is smaller than the sum of its proper divisors (5111354736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2749659984 is a wasteful number, since it uses less digits than its factorization.

2749659984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2280 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The square root of 2749659984 is about 52437.2003829343. The cubic root of 2749659984 is about 1400.9619212384.

The spelling of 2749659984 in words is "two billion, seven hundred forty-nine million, six hundred fifty-nine thousand, nine hundred eighty-four".